Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 49, 752, 657, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 752, 657, 155 is 1
GCD(49, 752, 657, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 752, 657, 155 is 1
GCD(49, 752, 657, 155) = 1
Given Input numbers are 49, 752, 657, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 49, 752, 657, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 752, 657, 155 is 1.
Therefore, GCD of numbers 49, 752, 657, 155 is 1
Given Input Data is 49, 752, 657, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 155 is 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 752) = 36848
GCD(49, 752) = ( 49 x 752 ) / 36848
GCD(49, 752) = 36848 / 36848
GCD(49, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 49, 752, 657, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 752, 657, 155?
GCD of 49, 752, 657, 155 is 1
2. Where do I get the detailed procedure to find GCD of 49, 752, 657, 155?
You can find a detailed procedure to find GCD of 49, 752, 657, 155 on our page.
3. How to find GCD of 49, 752, 657, 155 on a calculator?
You can find the GCD of 49, 752, 657, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.